Its finally time to start writing the report, Today I hope to have a draft writeup of the techniques I have found so far well underway so that I can use it to compose my thoughts and form a valid argument as to which techniques I should attempt to implement and I what order it will be sensible to do so in. In my head I had just assumed that the Half-Edge Collapse was the correct place to start, just because of its relative simplisity and for helping test error metrics code, however after meeting with Tyrone on thursday I feel that I need to form a stronger argument before I can begin implementation.
The FYP is going to be my focus for the week so I still hope to have some implementation underway by the end of the week but I cannot say which method it will be at the present time.

In other news, yet another technique has popped up from the woodwork by the name of Vertex Remapping (Greg Turk, Re-Tiling Polygonal Surfaces, Siggraph 1992 Conference Proceedings) which works by placing new vertices over the surface of the model and then working out how to link them so that topology is preserved. Points are placed randomly and then are refined with elastic functions to give an even spread, elacticity factors can be set locally for user control of high density regions.